Fit Definition and 347 Threads

  1. M

    Which Averages Determine the Linear Least Squares Fit in Physics Experiments?

    I am currently working on a lab report for my physics class. During the lab, we used air tracks, gliders, and a photogate to measure the value of 'g'. Basically, we would raise one end of the air track to a certain height and let the glider slide down the frictionless track and the timer would...
  2. H

    Need help solving nonhomogenous Sellmeier curve equations in Matlab?

    I have five, very precise, experimental values of refractive index for five different wavelengths and would like to draw the Sellmeier fit of the form: n^2=A1+A2/(1-A3/lambda^2) + A4/(1-A5/lambda^2) So, to find A1, A2, A3, A4 and A5 parameters I need to solve the system of five equations...
  3. S

    Finding best fit distribution and its Parameters

    Thanks to EnumaElish for helping me in Normalizing the histograms. I now want to find the best fit distribution and what will be the parameters for that distribution. I tried lograthmic but it goes in negative and also is not much fit (the new plots are attached). If I use poisson what will be...
  4. S

    Normalizing histograms and Finding best fit distribution

    I have plotted packets arriving in one second at a router. I then made histograms of the number of occurences of same number of packets in one second time window. My question is that I want to normalize these histograms. How can I do this to get probability mass functions. And then how do I...
  5. S

    Y Intercept of Linear Eqn w/ Slope 4: Find Line of Best Fit Calculator

    1. I need to know where the Y intercept would be on a linear equation with a slope of 4 and the intercepts (-22,101) and (-12,141). I also need to know how to find the line of best fit on a calculator I think the Y-int may be 189, but I don't really have any idea how to do either of these but...
  6. A

    Creating a histogram and then applying a gaussian fit. Help

    Ok, I need to take the data: D1 D2 6.5 3 6 4 6.7 5.5 7 3.8 6.3 4.5 8.6 5.8 5.5 4 7 3.5 7 4.5 7 5 6.5 4 6.8 3.2 7 3.6 6 4.5 6 2.8 and make a histogram (centered around 0 -- i.e. 0 will not be an edge of a bin) of the data...
  7. B

    Kolmogorv-Smirnov goodness of fit test

    Homework Statement I am needing to identify whether or not my distribution follows a normal distribution. Now by eye it kind of looks like it does, but I need to perform the kolmogorov-smirnov goodness-of-fit test to verify this. Below is a picture of my dataset with a normal curve fitted to...
  8. E

    Casimir effect - Does it fit? Or NOT?

    I just heard about the Casimir effect: http://en.wikipedia.org/wiki/Kashmir_effect Is this for real? Or is it just speculation? If it's real, then how in the name of science does it fit into the four fundamental forces?! http://hyperphysics.phy-astr.gsu.edu/hbase/forces/funfor.html I...
  9. marcus

    Wright's 'best fit' universe does not expand out into empty space

    Ned Wright's best fit standard LCDM is simply one possible concrete version of the usual LCDM model that cosmologists use. It has the normally preferred parameters (0.27, 0.73, 71) plus the estimate that Wright gave of Omega = 1.011. That's what he gave in January 2007 as the best LCDM fit to...
  10. C

    Least-Squares fit for a line Concept

    Homework Statement Prove the following useful fact: the least-squares fit for a line through any set of points (x_1,y_1) ...,(x_N, y_N) always passes through the "center of gravity" (x-bar, y-bar) of the points, where the bar denotes the average of the N values concerned. [Hint: you know...
  11. G

    Can You Fit an Infinite Amount of Energy in a Space?

    Here's a (possibly very simple) question I have: How many photons can you fit into an arbitrary volume? Is it infinite because they are massless/volumeless particles? If that is the case can you fit an infinite amount of energy in an arbitrary space? (theoretically) Thanks Gareth
  12. K

    Finding best fit for a parabolic segment

    I have a set of points x y 0 0 1 1 2 3 3 4 4 6 5 8 6 9 7 11 8 14 9 16 10 18 11 21 12 24 13 27 14 30 That seem to define, fairly closely, a parabolic segment. How do I find the scale and x/y origin of the parabola that most closely fits these points?
  13. honestrosewater

    The Brain Type System: How Well Does Your Brain Fit?

    ...into this type system? Take the tests before you read the article, please. :smile: http://f0rked.com/articles/estheory" My scores: E = 49; S = 48 My type: S (Okay, the test is a little repetitive, so my mind was wandering while I was taking it, and I wonder how the different brain types...
  14. E

    What Temperature Must an Iron Band Be Heated to Fit a Barrel?

    Homework Statement A barrel of diameter D at 20 degrees Celsius is to be enclosed by an iron band. The circular band has an inside diameter of d at 20 degrees Celsius. It is w wide and t thick. (a) To what temperature must the band be heated so that it will fit over the barrel? (b) What will...
  15. B

    Variance and goodness of fit tests

    I'm trying to see how well my data fit a certain probability distribution (an exponential distribution) and I basically want to know how reliable is it to compare the the theoretical variance of the distribution and the variance of the data, to assess the goodness of fit of data to a...
  16. P

    Optimizing Implicit Functions: Best Fit for Coupled ODE Solutions

    Is it possible to make a least squares fit with a function given implicitly, because the equation isn't solveable analyticly? Because I had the coupled ODE, \ddot{x} = \omega^2x + 2\omega\dot{y} - C\,\frac{\dot{x}}{\dot{r}} \ddot{y} = \omega^2y - 2\omega\dot{x} - C\,\frac{\dot{y}}{\dot{r}}...
  17. P

    How do you model functions to fit given conditions?

    for example, i want to find the coeffiecients of a function f(x) = ax^2 + bx + c for these given conditions: f(-1) = 3 f(1) = 3 i tried plugging and chugging for the first condition: 3 = a - b + c 3 = a + b + c now i tried subtracting the system to get 0 = 2b so its solved that b...
  18. T

    Line of Best Fit: Should I Join Points or Use Graph?

    Hi, should I use a line of best fit on a cumulative frequency graph or join the ponits. I looked on google and it;s all mis mashed. Is it arbituary or depend on data? Thanks
  19. S

    Force exerted onto the pipe by a shrunk fit ring

    hi, this is my first post here in this forum. i would like somebody here to help me in calculating the force exerted onto the pipe by a stainless steel ring of 10mm thickness, when it is shrunk fit on to the pipe by heating. thanks in advance
  20. L

    Weighted Least Squares Fit for Statistical Analysis of Data

    Homework Statement I have a project for one of my class and I have been given a sheet to do the statistical analyst of my data. I am not convince this sheet is proper and I need someone to look over it it. I don't understand where my Delta R goes... Homework Equations \chi^2...
  21. marcus

    Best fit three-sphere radius 130 gly (after Ned Wright)

    In his most recent, Ned Wright gives the best fit Omega as 1.011. He hastens to say that since the fit is not all that better than for Omega exactly 1, space being flat infinite, one cannot rightfully conclude that Omega > 1. However suppose, simply as an intellectual exercise, that one...
  22. T

    How can the particle fit in the well then?

    In an infinite square well potential, the ground state of a particle, has a wavelength twice the length of the well. How can the particle fit in the well then? It's not even one wavelength.
  23. Evo

    Why can't they make bras that fit right?

    Why can't they make bras that fit right? Why are the shoulder straps so close to the outside edge of your shoulders that the straps keep sliding down my arms? I am NOT built with the shoulders of an American football player (not soccer), which apparently, is what they had in mind. Ok...
  24. P

    Number of atoms that fill fit into 1cm^3

    I have been given a set of questions as a pre-course task for my physics AS level and i would be very grateful if somone could check my working and tell me if I'm on the right track. One of the questions is how many atoms (with a given diameter of 0.0000001mm) can you fit into a 1cm^3 space. To...
  25. J

    What is the Optimal Tolerance for Close Fit in Millimeters?

    Need best "mm" for close fit I am for the first time building an object for fabrication online with "e-machineshop" free CAD software and odering service. I would like to know what is the minimum desirable space between two objects to allow for the closest (tight) fit with the least amount...
  26. K

    Can self-study lead to groundbreaking scientific ideas?

    [Please excuse this topic if it is in the wrong area but since it is so vague I threw it in here. If it is in the wrong forum please redirect it! Ill try and save a copy too!] Has anyone given the thought of someone with fresh ideas? I know so much has been done now in sciences, philosophies...
  27. C

    The least squares approximation - best fit lines revisited

    We all know the least squares method to find the best fit line for a collection of random data. But I wonder if it is the best method. Suppose we have two random variables y and x that appear to have a linear relation of the type y = ax+b. What we want is, given the next type x signal to...
  28. I

    How to Convert a Nonlinear Function into Linear for Quadratic to Linear Fit?

    I have a function y = \sqrt{ax^2 + bx +c}, and 2 sets of points {x_i},{y_i} that need to be fit on this curve. First in this problem, I need to somehow convert this nonlinear function into linear and then apply least square methods to determine a,b,c. What I came up is ofcouse squaring both...
  29. E

    Design does not fit on the chip

    So, yeah... this is an assignment, but i just need some hint: we need to write an abel program for a combinational logic function with 5 inputs representing integers 0-31, and two outputs M3 and M5, which indicate whether the number is multiple of 3 or 5, respectively. So, here's my...
  30. S

    Im English, what category do I fit into?

    I'm British and I'm in the 6th form (I'm 16, soon to turn 17 and doing A-Level Physics). Do I post my queries in the K-12 forum or the college forum?
  31. wolram

    Staying in Shape: Tips for Keeping Fit

    How do you keep fit ??
  32. S

    Curve Fit, Correlation, and Computer Software

    A computer program, MicroLab, deals with finding the best fit curve, or allowing for linear regression of the first, second, and third orders, of a given set of data (particularly modeling nonlinear data). I am trying to stimulate this analysis on a graphing calculator (i.e., TI-83 Plus and...
  33. C

    Finding a function to 'fit' data? Regression?

    Say i have a set of points that aren't necessarily linear, but are planar, and all follow a 'general' trend in the same direction. Say, something like this: http://img343.imageshack.us/img343/2218/pointdistribution1jo.jpg This is an entirely random example, but hopefully it'll help you...
  34. marcus

    New one by Moffat (comparing fit to rotation curves)

    in case if might be of interest http://arxiv.org/abs/astro-ph/0506370 Galaxy Rotation Curves Without Non-Baryonic Dark Matter J. R. Brownstein, J. W. Moffat Submitted to ApJ, June 20, 2005. 43 pages, 7 figures, 4 tables, 101 galaxies "We apply the modified acceleration law obtained from...
  35. J

    Temperature Required for Brass Plug and Iron Ring to Fit

    A brass plug is to be placed in a ring made of iron. At room temperature (20oC), the diameter of the plug is 8.755 cm and that of the inside of the ring is 8.745 cm. They must be brought to what common temperature (in Co) in order to fit? The coefficient of linear expansion for brass is...
  36. Evo

    Is the Fit through Fat diet really healthy and effective for weight loss?

    New "Fit through Fat" diet I think I'd have a hard time staying on a diet like this, how many calories a day would that be? :bugeye: "what a nutritionist would call a recipe for heart attacks is just what one doctor ordered for Izabela Strepak. She went from a size 14 to a size 4...
  37. J

    How to Calculate Uncertainty in Polynomial Fit Parameters Using Excel?

    I performed a fit, using EXCEL, to data and the fit gave me a polynomial. How do I get the uncertainty in the resulting parameters. For example the least squares fit gives y = Ax+B and there are equations to give the uncertainties in A and B. IS there a program that does this for non linear...
  38. P

    Aerobic vs Anaerobic Activities: Keeping Fit

    I would like to have an explanation of why aerobic activities,like jogging, help one man to keep fit while anaerobic activities, like lifting weight, contribute little effort.
  39. G

    Measuring Length of Bike Saddle for Proper Fit

    Hey everyone...I need work out how big my bike alarm has to be to fit under a bike saddle...so could you please tell me by how far you move your saddle up, so you can ride your bike properly and sit comfortably?...This can be done by measuring the length of the metal rod that holds the saddle...
  40. J

    Line of Best Fit: Accuracy & Data Analysis

    Would a larger number of points in the line of best fit give a larger accuracy to the data?
  41. A

    Maple Plotting Points and Adding Best Fit Curve in Maple

    I'm quite a beginner in maple and I want to plots some points with a Scatterplot and add the bestfit curve but I can't get maple to put both in the same plot...:rolleyes: I'd also liek to know how to make a scatterplot with max/min extensions of evry points (I have no idea how you call these)...
  42. A

    Non linear curve fit - parameter accuracy

    Hi, Suppose i fit some data with a curve, using Levenberg-Marquardt (or equivalent). How do I estimate the accuracy of the parameters (by this i mean p plus or minus something). I've read somewhere that its done using the jacobian and covariance matricies I think, but not sure. Anyone know if...
  43. J

    How can I use Excel to find the line of best fit for a set of data points?

    :confused: I have plotted a few points (8 infact ) in Excel and would like to acquire the equation for the line of best fit. How do I do this using the computer or do I have to do it by hand?
  44. S

    Uncertainty when using a line of best fit

    I was just wondering if somebody knows how you find the uncertainty of a value obtained from a line of best fit. In my case I had to estimate the charge left on a capacitor, but to do this I had to integrate from t=120 to t=infinity using the exponential line of best fit. I have no clue how to...
  45. G

    Is There a Formula for Fitting a Sum of Exponentials to Data Points?

    Hi, I want fit the following equation to a set of data points : y = A(exp(-Bx)-exp(-Cx))) I found how to determine A and B for one exp : y = Aexp(-Bx), but I'm not sure if there's a formula for A, B and C in such a sum (or difference) of exponentials. Thanks.
  46. B

    Do dimensions apply in a universe without a center and shape?

    How do the dimension, at least the first three we can observe, fit in the universe? We can monitor up/down, left/right, forward/backward on our planets, yes? But then how does this fit in with the idea that the universe has no center and shape, no true directions. Does this mean that the first...
  47. M

    Can a Trailer Fit Under a Parabolic Arch Bridge?

    Problem 11. A hauing company needs to determine whether a large house trailer can be moved along a highway that passes under a bridge with an opening in the shape of a parabolic arch, 12m wide at the base and 6 m high in the center. If the trailer is 9m wide and 3.2 m tall(measured from the...
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